You don't say which battery wire is getting hot, as a rule any wire getting hot is because of resistance and under some circumstances such as a short circuit in an un-fused line it will catch fire and/or set something else on fire.
Check for cracked insulation or wires rubbing on ground but do fix it soon.
If the wire is getting warm as opposed to HOT make sure all contacts are clean and the right gauge wire is being used.
The large red wire is the battery or hot wire.
No Red is positive and it is hot
I think you answered that question yourself, when you said, `hot wire', which usually means the positive battery power lead.
Get a voltage tester with a point that you can pierce wires with and find a hot wire that is only hot when the key is on and wire the amp to that.
simple answer is ground wire is not properly installed
you either overlooked a hot lead that needs to be reconnected at the battery, or you grounded a hot wire and blew a fuse or fusible link wire
Take a jumper wire from Battery + to coil +Then jump solenoid on starter
Simply connect the wire between the two terminals of the battery. The wire will get plenty hot, and probably even shine like a toaster, but probably not for long.
wire direct from + side battery to + side coil and jump starter solenoid
Unhook your horn and hot wire it from the battery to see if it work. If only one wire is going to your horn that should be your hot wire so gound the negitive wire from the battery to your body.
Negative - (Black) is Ground, Positive + (Red) is Hot. Ground wire goes to Negative (Black) it goes from negative on battery to engine for ground.
It will get very hot if nothing but the battery is connected with wire but it won't explode...., in science class we did this, it's called electricity. All you're doing is making an electric circuit. Try connecting wire to a lightbulb, and touch the battery on both ends with the wire also. It will light the lightbulb up. Maybe go back to elementary school. lol